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Concept Formation and Concept Grounding
Högskolan i Skövde, Institutionen för ingenjörsvetenskap. Högskolan i Skövde, Forskningsspecialiseringen Hälsa och Lärande. (Utbildningsvetenskap, Educational Science)
Department of Pedagogical, Curricular and Professional Studies, University of Gothenburg, Sweden.
2014 (engelsk)Inngår i: Philosophia (Ramat Gan), ISSN 0048-3893, E-ISSN 1574-9274, Vol. 42, nr 3, s. 827-839Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

Recently Carrie S. Jenkins formulated an epistemology of mathematics, or rather arithmetic, respecting apriorism, empiricism, and realism. Central is an idea of concept grounding. The adequacy of this idea has been questioned e.g. concerning the grounding of the mathematically central concept of set (or class), and of composite concepts. In this paper we present a view of concept formation in mathematics, based on ideas from Carnap, leading to modifications of Jenkins’s epistemology that may solve some problematic issues with her ideas. But we also present some further problems with her view, concerning the role of proof for mathematical knowledge.

sted, utgiver, år, opplag, sider
Springer Science+Business Media B.V., 2014. Vol. 42, nr 3, s. 827-839
Emneord [en]
Epistemology, Mathematics, Knowledge of theorems, The role of proof, Empiricism, Concept grounding, Concept formation
HSV kategori
Forskningsprogram
Naturvetenskap
Identifikatorer
URN: urn:nbn:se:his:diva-9075DOI: 10.1007/s11406-014-9528-8ISI: 000342167800019Scopus ID: 2-s2.0-84901729733OAI: oai:DiVA.org:his-9075DiVA, id: diva2:716760
Tilgjengelig fra: 2014-05-12 Laget: 2014-05-12 Sist oppdatert: 2017-12-05bibliografisk kontrollert

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